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Johnson, Charles Royal

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Author ID: johnson.charles-royal Recent zbMATH articles by "Johnson, Charles Royal"
Published as: Johnson, Charles R.; Johnson, C. R.; Johnson, Charles; Johnson, Ch. R.; Johnson, C.
Homepage: https://www.wm.edu/as/mathematics/faculty-directory/johnson_c.php
External Links: MGP · Wikidata · dblp · GND · IdRef
Documents Indexed: 465 Publications since 1970, including 15 Books
all top 5

Co-Authors

52 single-authored
21 Olesky, D. Dale
20 van den Driessche, Pauline
19 Saiago, Carlos M.
18 Fallat, Shaun M.
16 Furtado, Susana
16 Smith, Ronald L.
15 Leal-Duarte, António
13 Barrett, Wayne W.
12 Marijuán, Carlos
12 Pisonero, Miriam
11 Lundquist, Michael E.
10 Drew, John H.
10 Spitkovsky, Ilya Matvey
9 Horn, Roger Alan
9 Kroschel, Brenda K.
9 Loewy, Raphael
9 Nylen, Peter M.
8 Farber, Miriam
8 Reams, Robert B.
8 Stanford, David P.
8 Toyonaga, Kenji
8 Zhang, Yulin
7 Pierce, Stephen J.
7 Rodman, Leiba X.
7 Tarazaga, Pablo A.
7 Wolkowicz, Henry
6 Elsner, Ludwig F.
6 Hillar, Christopher J.
6 Paparella, Pietro
5 Bakonyi, Mihály
5 Carlson, David Hilding
5 Eschenbach, Carolyn A.
5 Howe, Eric C.
5 Lins, Brian
5 Narayan, Sivaram K.
5 Newman, Morris
5 Sutton, Brian D.
5 Szulc, Tomasz
5 Tsatsomeros, Michael J.
4 Dopico, Froilán M.
4 Gekhtman, Michael I.
4 Li, Chi-Kwong
4 Markham, Thomas L.
4 Marques de Sá, Eduardo
4 Maybee, John S.
4 Nasserasr, Shahla
4 Neumann, Michael
4 Peña, Juan Manuel
4 Schreiner, Erik A.
4 Turnansky, Morrison
4 Walch, Olivia
3 Bru, Rafael
3 Charles, Zachary B.
3 Dorsey, Jonathan
3 Graves-Morris, Peter R.
3 Grone, Robert D.
3 Hauke, Jan
3 Hershkowitz, Daniel
3 Kellogg, Bruce
3 Kennedy-Shaffer, Lee
3 McMichael, Paul R.
3 Perdigão Dias da Silva, José António
2 Barnett, Stephen
2 Booth, Matthew
2 Costas-Santos, Roberto S.
2 DeAlba, Luz Maria
2 Faulk, Mitchell
2 Fiedler, Miroslav
2 Gannon, Tom
2 Gelonch, José
2 Hackney, Philip
2 Hall, Frank J.
2 Harris, Benjamin
2 Hogben, Leslie
2 Jankowski, Eric
2 Kirk, Ryan
2 Laffey, Thomas J.
2 Lay, David Clark
2 Lay, Margaret
2 Leighton, Frank Thomson
2 Lenker, Terry D.
2 Lewis, Drew
2 Link, Joshua A.
2 Marzion, Evan
2 Mitchell, Lon Howard
2 Nævdal, Geir
2 Nath Datta, Biswa
2 Okubo, Kazuyoshi
2 Pascoe Streib, Amanda
2 Plemmons, Robert James
2 Porter, A. Duane
2 Robinson, Herbert A.
2 Shalom, Tamir
2 Sher, David A.
2 Šmigoc, Helena
2 Sokal, Alan D.
2 Soto, Ricardo Lorenzo
2 Stephens, Arthur B.
2 Wakhare, Tanay V.
2 Wei, Zhen
...and 160 more Co-Authors
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Serials

170 Linear Algebra and its Applications
87 Linear and Multilinear Algebra
25 SIAM Journal on Matrix Analysis and Applications
20 ELA. The Electronic Journal of Linear Algebra
13 Journal of Research of the National Bureau of Standards
12 Discrete Mathematics
8 Proceedings of the American Mathematical Society
7 SIAM Journal on Algebraic and Discrete Methods
5 Special Matrices
4 American Mathematical Monthly
4 Discrete Applied Mathematics
4 Journal of Mathematical Analysis and Applications
4 Czechoslovak Mathematical Journal
3 Positivity
3 Involve
3 Asian-European Journal of Mathematics
2 Journal of Research of the National Bureau of Standards
2 Rocky Mountain Journal of Mathematics
2 Journal of the London Mathematical Society. Second Series
2 Computational Optimization and Applications
2 Numerical Linear Algebra with Applications
2 Mathematical Inequalities & Applications
2 Cambridge Tracts in Mathematics
2 MAA Notes
1 International Journal of Control
1 Journal of Statistical Physics
1 Mathematics of Computation
1 The Arabian Journal for Science and Engineering
1 Automatica
1 Canadian Mathematical Bulletin
1 Journal of Approximation Theory
1 Journal of Combinatorial Theory. Series B
1 Journal of Functional Analysis
1 Journal of Mathematical Economics
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Networks
1 Pacific Journal of Mathematics
1 Portugaliae Mathematica
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 SIAM Journal on Numerical Analysis
1 Transactions of the American Mathematical Society
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Circuits, Systems, and Signal Processing
1 Journal of Theoretical Probability
1 SIAM Journal on Discrete Mathematics
1 Aequationes Mathematicae
1 Economic Theory
1 The Electronic Journal of Combinatorics
1 Reliable Computing
1 Taiwanese Journal of Mathematics
1 Mathematical Proceedings of the Royal Irish Academy
1 Discussiones Mathematicae. General Algebra and Applications
1 Portugaliae Mathematica. Nova Série
1 Proyecciones
1 Contemporary Mathematics
1 Proceedings of Symposia in Applied Mathematics
1 Operators and Matrices
1 The College Mathematics Journal
1 Discrete Mathematics, Algorithms and Applications
1 Princeton Series in Applied Mathematics
all top 5

Fields

418 Linear and multilinear algebra; matrix theory (15-XX)
127 Combinatorics (05-XX)
35 Numerical analysis (65-XX)
19 Operator theory (47-XX)
19 Systems theory; control (93-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Group theory and generalizations (20-XX)
6 Operations research, mathematical programming (90-XX)
5 General and overarching topics; collections (00-XX)
5 Number theory (11-XX)
5 Real functions (26-XX)
5 Probability theory and stochastic processes (60-XX)
5 Computer science (68-XX)
4 History and biography (01-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Commutative algebra (13-XX)
4 Geometry (51-XX)
4 Convex and discrete geometry (52-XX)
4 Statistics (62-XX)
3 Mathematical logic and foundations (03-XX)
3 Ordinary differential equations (34-XX)
2 Functions of a complex variable (30-XX)
2 Integral transforms, operational calculus (44-XX)
2 Differential geometry (53-XX)
2 Quantum theory (81-XX)
1 General algebraic systems (08-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Category theory; homological algebra (18-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 General topology (54-XX)
1 Mechanics of deformable solids (74-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

368 Publications have been cited 10,358 times in 8,234 Documents Cited by Year
Matrix analysis. Zbl 0576.15001
Horn, Roger A.; Johnson, Charles R.
1985
Topics in matrix analysis. Zbl 0729.15001
Horn, Roger A.; Johnson, Charles R.
1991
Matrix analysis. Reprinted with corrections. Zbl 0704.15002
Horn, Roger A.; Johnson, Charles R.
898
1990
Matrix analysis. 2nd ed. Zbl 1267.15001
Horn, Roger A.; Johnson, Charles R.
728
2013
Topics in matrix analysis. 1st paperback ed. with corrections. 1st pbk with corr. Zbl 0801.15001
Horn, Roger A.; Johnson, Charles R.
313
1994
Positive definite completions of partial Hermitian matrices. Zbl 0547.15011
Grone, Robert; Johnson, Charles R.; Marques de Sá, Eduardo; Wolkowicz, Henry
156
1984
Totally nonnegative matrices. Zbl 1390.15001
Fallat, Shaun M.; Johnson, Charles R.
92
2011
Row stochastic matrices similar to doubly stochastic matrices. Zbl 0455.15019
Johnson, Charles R.
77
1981
Inverse M-matrices. Zbl 0488.15011
Johnson, Charles R.
73
1982
The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree. Zbl 0929.15005
Johnson, C. R.; Duarte, António Leal
64
1999
The Parter–Wiener theorem: Refinement and generalization. Zbl 1067.15003
Johnson, Charles R.; Duarte, António Leal; Saiago, Carlos M.
59
2003
Normal matrices. Zbl 0613.15021
Grone, Robert; Johnson, Charles R.; Marques de Sá, Eduardo; Wolkowicz, Henry
54
1987
Numerical determination of the field of values of a general complex matrix. Zbl 0389.65018
Johnson, Charles R.
46
1978
Spectrally arbitrary patterns. Zbl 0957.15012
Drew, J. H.; Johnson, C. R.; Olesky, D. D.; van den Driessche, P.
45
2000
Hermitian matrices, eigenvalue multiplicities, and eigenvector components. Zbl 1083.15015
Johnson, Charles R.; Sutton, Brian D.
40
2004
The real and the symmetric nonnegative inverse eigenvalue problems are different. Zbl 0861.15007
Johnson, Charles R.; Laffey, Thomas J.; Loewy, Raphael
39
1996
The Perron root of a weighted geometric mean of nonnegative matrices. Zbl 0684.15007
Elsner, L.; Johnson, Charles R.; Dias da Silva, J. A.
36
1988
Completely positive matrices associated with \(M\)-matrices. Zbl 0815.15019
Drew, John H.; Johnson, Charles R.; Loewy, Raphael
35
1994
On the minimum number of distinct eigenvalues for a symmetric matrix whose graph is a given tree. Zbl 1002.15010
Leal-Duarte, António; Johnson, Charles R.
32
2002
A Gershgorin-type lower bound for the smallest singular value. Zbl 0723.15013
Johnson, Charles R.
32
1989
Lower bounds for the spread of a matrix. Zbl 0578.15013
Johnson, Charles R.; Kumar, Ravinder; Wolkowicz, Henry
31
1985
On the possible multiplicities of the eigenvalues of a Hermitian matrix whose graph is a tree. Zbl 1001.15004
Johnson, Charles R.; Leal Duarte, António
29
2002
The range of \(A^{-1} A^*\) in GL(n,C). Zbl 0292.15007
DePrima, C. R.; Johnson, C. R.
29
1974
The singular values of a Hadamard product: a basic inequality. Zbl 0633.15011
Ando, T.; Horn, Roger A.; Johnson, Charles R.
28
1987
Inertia possibilities for completions of partial Hermitian matrices. Zbl 0548.15020
Johnson, Charles R.; Rodman, Leiba
28
1984
On the minimum rank among positive semidefinite matrices with a given graph. Zbl 1226.05151
Booth, Matthew; Hackney, Philip; Harris, Benjamin; Johnson, Charles R.; Lay, Margaret; Mitchell, Lon H.; Narayan, Sivaram K.; Pascoe, Amanda; Steinmetz, Kelly; Sutton, Brian D.; Wang, Wendy
28
2008
A note on cospectral graphs. Zbl 0431.05021
Johnson, Charles R.; Newman, Morris
27
1980
Determinantal formulae for matrix completions associated with chordal graphs. Zbl 0681.15003
Barrett, Wayne W.; Johnson, Charles R.; Lundquist, Michael
27
1989
Inverse eigenvalue problems and lists of multiplicities of eigenvalues for matrices whose graph is a tree: The case of generalized stars and double generalized stars. Zbl 1035.15010
Johnson, Charles R.; Leal Duarte, António; Saiago, Carlos M.
26
2003
The real positive definite completion problem for a simple cycle. Zbl 0786.15027
Barrett, Wayne; Johnson, Charles R.; Tarazaga, Pablo
25
1993
The Euclidean distance matrix completion problem. Zbl 0823.15012
Bakonyi, Mihály; Johnson, Charles R.
24
1995
Convex sets of nonsingular and \(P\)-matrices. Zbl 0824.15021
Johnson, Charles R.; Tsatsomeros, Michael J.
24
1995
On the relative position of multiple eigenvalues in the spectrum of an Hermitian matrix with a given graph. Zbl 1022.15030
Johnson, Charles R.; Duarte, António Leal; Saiago, Carlos M.; Sutton, Brian D.; Witt, Andrew J.
24
2003
Further lower bounds for the smallest singular value. Zbl 0891.15013
Johnson, Charles R.; Szulc, Tomasz
23
1998
Normality and the numerical range. Zbl 0337.15019
Johnson, Charles R.
23
1976
The real positive definite completion problem: Cycle completability. Zbl 0857.05068
Barrett, Wayne W.; Johnson, Charles R.; Loewy, Raphael
22
1996
The completion problem for \(M\)-matrices and inverse \(M\)-matrices. Zbl 0979.15009
Johnson, Charles R.; Smith, Ronald L.
22
1996
Connections between the real positive semidefinite and distance matrix completion problems. Zbl 0827.15032
Johnson, Charles R.; Tarazaga, Pablo
21
1995
On matrices with Perron–Frobenius properties and some negative entries. Zbl 1078.15018
Johnson, Charles R.; Tarazaga, Pablo
21
2004
Sign patterns that require real, nonreal or pure imaginary eigenvalues. Zbl 0764.05015
Eschenbach, Carolyn A.; Johnson, Charles R.
21
1991
Sign patterns of inverse-positive matrices. Zbl 0404.15007
Johnson, Charles R.; Leighton, Frank Thomson; Robinson, Herbert A.
20
1979
Linear maps on Hermitian matrices: The stabilizer of an inertia class. II. Zbl 0593.15021
Johnson, Charles R.; Pierce, Stephen
20
1986
Semipositivity of matrices. Zbl 0815.15018
Johnson, Charles R.; Kerr, M. Kathleen; Stanford, David P.
18
1994
A trace inequality for M-matrices and the symmetrizability of a real matrix by a positive diagonal matrix. Zbl 0597.15016
Fiedler, Miroslav; Johnson, Charles R.; Markham, Thomas L.; Neumann, Michael
18
1985
Spanning-tree extensions of the Hadamard-Fischer inequalities. Zbl 0619.05021
Johnson, Charles R.; Barrett, Wayne W.
18
1985
Completion of partial matrices to contractions. Zbl 0626.47015
Johnson, Charles R.; Rodman, Leiba
18
1986
Positive definite matrices. Zbl 0261.15012
Johnson, C. R.
18
1970
The combinatorially symmetric \(P\)-matrix completion problem. Zbl 0889.15007
Johnson, Charles R.; Kroschel, Brenda K.
17
1996
Hadamard and conventional submultiplicativity for unitarily invariant norms on matrices. Zbl 0605.15017
Horn, Roger A.; Johnson, Charles R.
17
1987
Mathematical aspects of the relative gain array \((A\circ A^{-T})\). Zbl 0607.15013
Johnson, Charles R.; Shapiro, Helene M.
17
1986
Sub-direct sums and positivity classes of matrices. Zbl 0973.15013
Fallat, Shaun M.; Johnson, Charles R.
17
1999
Determinantal formulae for matrices with sparse inverses. Zbl 0523.15008
Barrett, Wayne W.; Johnson, Charles R.
17
1984
A generalization of Sylvester’s law of inertia. Zbl 0993.15011
Johnson, Charles R.; Furtado, Susana
17
2001
A semi-definite Lyapunov theorem and the characterization of tridiagonal D-stable matrices. Zbl 0541.15008
Carlson, David; Datta, B. N.; Johnson, Charles R.
17
1982
On the minimum semidefinite rank of a simple graph. Zbl 1223.05170
Booth, Matthew; Hackney, Philip; Harris, Benjamin; Johnson, Charles R.; Lay, Margaret; Lenker, Terry D.; Mitchell, Lon H.; Narayan, Sivaram K.; Pascoe, Amanda; Sutton, Brian D.
16
2011
The potentially stable tree sign patterns for dimensions less than five. Zbl 0723.05047
Johnson, Charles R.; Summers, Tracy A.
16
1989
Eigenvalues of words in two positive definite letters. Zbl 1007.68139
Johnson, Charles R.; Hillar, Christopher J.
15
2002
Nested sequences of principal minors and potential stability. Zbl 0880.15025
Johnson, Charles R.; Maybee, John S.; Olesky, D. D.; van den Driessche, P.
15
1997
Some sign patterns that preclude matrix stability. Zbl 0676.15004
Jeffries, Clark; Johnson, Charles R.
15
1988
Uniqueness of matrix square roots and an application. Zbl 0976.15009
Johnson, Charles R.; Okubo, Kazuyoshi; Reams, Robert
15
2001
Monotonicity properties of norms. Zbl 0717.15015
Johnson, Charles R.; Nylen, Peter
15
1991
On the reduction of pairs of Hermitian or symmetric matrices to diagonal form by congruence. Zbl 0593.15005
Yoo Pyo Hong; Horn, Roger A.; Johnson, Charles R.
14
1986
Second, third, and fourth order D-stability. Zbl 0283.15005
Johnson, Charles R.
14
1974
The graphs for which the maximum multiplicity of an eigenvalue is two. Zbl 1225.05167
Johnson, Charles R.; Loewy, Raphael; Smith, Paul Anthony
14
2009
Matrices with chordal inverse zero-patterns. Zbl 0787.15007
Johnson, Charles R.; Lundquist, Michael
13
1993
Spectral theory of copositive matrices. Zbl 1064.15007
Johnson, Charles R.; Reams, Robert
13
2005
Linear transformations on \(M_ n({\mathbb{R}})\) that preserve the Ky Fan k- norm and a remarkable special case when \((n,k)=(4,2)\). Zbl 0658.15029
Johnson, Charles R.; Laffey, Thomas; Li, Chi-Kwong
13
1988
Sign patterns of inverse nonnegative matrices. Zbl 0519.15008
Johnson, Charles R.
13
1983
Convex sets of Hermitian matrices with constant inertia. Zbl 0577.15007
Johnson, Charles R.; Rodman, Leiba
13
1985
Sign patterns that require repeated eigenvalues. Zbl 0795.15008
Eschenbach, Carolyn A.; Johnson, Charles R.
12
1993
The relationship between \(AB\) and \(BA\). Zbl 0865.15010
Johnson, Charles R.; Schreiner, Erik A.
12
1996
A combinatorial converse to the Perron-Frobenius theorem. Zbl 0739.15004
Eschenbach, Carolyn A.; Johnson, Charles R.
12
1990
Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix. Zbl 0999.15005
Johnson, Charles R.; Saiago, Carlos M.
12
2002
Eigenvalue inequalities for principal submatrices. Zbl 0458.15013
Johnson, Charles R.; Robinson, Herbert A.
12
1981
The no long odd cycle theorem for completely positive matrices. Zbl 0838.15011
Drew, John H.; Johnson, Charles R.
11
1996
Spectra of matrices with P-matrix powers. Zbl 0612.15013
Hershkowitz, Daniel; Johnson, Charles R.
11
1986
On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector. Zbl 0501.15010
Elsner, L.; Johnson, C. R.; Neumann, M.
11
1982
Perron spectratopes and the real nonnegative inverse eigenvalue problem. Zbl 1329.15028
Johnson, Charles R.; Paparella, Pietro
11
2016
Inverse \(M\)-matrices. II. Zbl 1218.15015
Johnson, Charles R.; Smith, Ronald L.
11
2011
\(P\)-matrix completions under weak symmetry assumptions. Zbl 0963.15021
Fallat, Shaun M.; Johnson, Charles R.; Torregrosa, Juan R.; Urbano, Ana M.
10
2000
Notes on inverse M-matrices. Zbl 0618.15012
Fiedler, M.; Johnson, Charles R.; Markham, T. L.
10
1987
Some outstanding problems in the theory of matrices. Zbl 0494.15002
Johnson, Charles R.
10
1982
Olga, matrix theory and the Taussky unification problem. Zbl 0946.15001
Johnson, Charles R.; Fallat, Shaun
10
1998
Total positivity of sums, Hadamard products and Hadamard powers: results and counterexamples. Zbl 1359.15027
Fallat, Shaun; Johnson, Charles R.; Sokal, Alan D.
10
2017
Constructing copositive matrices from interior matrices. Zbl 1143.15023
Johnson, Charles R.; Reams, Robert
10
2008
Matrix analysis. Transl. from the English by Kh. D. Ikramov, A. V. Knyazev and E. E. Tyrtyshnikov. Transl. ed. and with a foreword by Ikramov. (Матричный анализ.) Zbl 0734.15002
Horn, Roger A.; Johnson, Charles R.
10
1989
The general totally positive matrix completion problem with few unspecified entries. Zbl 0941.15009
Fallat, Shaun M.; Johnson, Charles R.; Smith, Ronald L.
9
2000
Completing a block diagonal matrix with a partially prescribed inverse. Zbl 0831.15010
Barrett, Wayne W.; Lundquist, Michael E.; Johnson, Charles R.; Woerdeman, Hugo J.
9
1995
An inclusion region for the field of values of a doubly stochastic matrix based on its graph. Zbl 0384.15006
Johnson, Charles R.
9
1978
A surprising determinantal inequality for real matrices. Zbl 0407.15009
Johnson, Charles R.; Newman, Morris
9
1980
The copositive completion problem. Zbl 1098.15010
Hogben, Leslie; Johnson, Charles R.; Reams, Robert
9
2005
A simple estimate of the condition number of a linear system. Zbl 1291.15022
Guggenheimer, Heinrich W.; Edelman, Alan S.; Johnson, Charles R.
9
1995
Inherited matrix entries: LU factorizations. Zbl 0667.65027
Johnson, Charles R.; Olesky, D. D.; van den Driessche, P.
9
1989
The Hadamard core of the totally nonnegative matrices. Zbl 0989.15009
Crans, Alissa S.; Fallat, Shaun M.; Johnson, Charles R.
9
2001
Minimum rank completions. Zbl 0775.15001
Johnson, Charles R.; Whitney, Glen T.
9
1991
Combinatorial matrix analysis: An overview. Zbl 0652.15001
Johnson, Charles R.
9
1988
Complementary bases in symplectic matrices and a proof that their determinant is one. Zbl 1112.15002
Dopico, Froilán M.; Johnson, Charles R.
9
2006
Linear maps on Hermitian matrices: the stabilizer of an inertia class. Zbl 0577.15008
Johnson, Charles R.; Pierce, Stephen
9
1985
Linear transformations that preserve certain positivity classes of matrices. Zbl 0583.15013
Berman, Abraham; Hershkowitz, Daniel; Johnson, Charles R.
9
1985
The structure of matrices with a maximum multiplicity eigenvalue. Zbl 1143.15005
Johnson, Charles R.; Leal Duarte, António; Saiago, Carlos M.
9
2008
Nonnegative realizability with Jordan structure. Zbl 07191023
Johnson, Charles R.; Julio, Ana I.; Soto, Ricardo L.
3
2020
The proportion of trees that are linear. Zbl 1445.05051
Wakhare, Tanay; Wityk, Eric; Johnson, Charles R.
1
2020
Matrix positivity. Zbl 1469.15002
Johnson, Charles R.; Smith, Ronald L.; Tsatsomeros, Michael J.
1
2020
Target control and source estimation metrics for dynamical networks. Zbl 1415.93055
Vosughi, Amirkhosro; Johnson, Charles; Xue, Mengran; Roy, Sandip; Warnick, Sean
2
2019
The change in multiplicity of an eigenvalue due to adding or removing edges. Zbl 1403.15007
Johnson, Charles R.; Saiago, Carlos M.; Toyonaga, Kenji
1
2019
Eigenvalues, multiplicities and graphs. Zbl 1433.05002
Johnson, Charles R.; Saiago, Carlos M.
8
2018
Universal realizability of spectra with two positive eigenvalues. Zbl 1391.15037
Collao, Macarena; Johnson, Charles R.; Soto, Ricardo L.
8
2018
Geometric Parter-Wiener, etc. theory. Zbl 1376.15030
Johnson, Charles R.; Saiago, Carlos M.
7
2018
Classification of vertices and edges with respect to the geometric multiplicity of an eigenvalue in a matrix, with a given graph, over a field. Zbl 1406.15014
Johnson, Charles R.; Saiago, Carlos M.; Toyonaga, Kenji
3
2018
The NIEP. Zbl 1427.15001
Johnson, Charles R.; Marijuán, Carlos; Paparella, Pietro; Pisonero, Miriam
3
2018
The minimum number of eigenvalues of multiplicity one in a diagonalizable matrix, over a field, whose graph is a tree. Zbl 1403.15006
Johnson, Charles R.; Leal-Duarte, António; Saiago, Carlos M.
2
2018
Multiplicity lists for symmetric matrices whose graphs have few missing edges. Zbl 1380.15009
Johnson, Charles R.; Zhang, Yulin
1
2018
Total positivity of sums, Hadamard products and Hadamard powers: results and counterexamples. Zbl 1359.15027
Fallat, Shaun; Johnson, Charles R.; Sokal, Alan D.
10
2017
Ruling out certain 5-spectra for the symmetric nonnegative inverse eigenvalue problem. Zbl 1353.15008
Johnson, C. R.; Marijuán, C.; Pisonero, M.
7
2017
The classification of edges and the change in multiplicity of an eigenvalue of a real symmetric matrix resulting from the change in an edge value. Zbl 1360.15014
Toyonaga, Kenji; Johnson, Charles R.
6
2017
Symmetric nonnegative realizability via partitioned majorization. Zbl 1375.15015
Johnson, C. R.; Marijuán, C.; Pisonero, M.
3
2017
A matricial view of the Karpelevič theorem. Zbl 1359.15029
Johnson, Charles R.; Paparella, Pietro
3
2017
Changes in vertex status and the fundamental decomposition of a tree relative to a multiple (parter) eigenvalue. Zbl 1372.05172
Johnson, Charles R.; Leal-Duarte, António; McMichael, Paul R.
2
2017
On the solvability of derived matrix problems, including completions and duals. Zbl 1349.14180
Johnson, Charles R.; Leal-Duarte, António
2
2017
Perron spectratopes and the real nonnegative inverse eigenvalue problem. Zbl 1329.15028
Johnson, Charles R.; Paparella, Pietro
11
2016
Inverse spectral problems for collections of leading principal submatrices of tridiagonal matrices. Zbl 1325.15032
Higgins, Vijay; Johnson, Charles
7
2016
Diameter minimal trees. Zbl 1338.05160
Johnson, Charles R.; Saiago, Carlos M.
7
2016
Linear preservers of semi-positive matrices. Zbl 1388.15026
Dorsey, Jonathan; Gannon, Tom; Jacobson, Nathaniel; Johnson, Charles R.; Turnansky, Morrison
5
2016
New results about semi-positive matrices. Zbl 1413.15021
Dorsey, Jonathan; Gannon, Tom; Johnson, Charles R.; Turnansky, Morrison
4
2016
Ranks of permutative matrices. Zbl 1338.05030
Hu, Xiaonan; Johnson, Charles R.; Davis, Caroline E.; Zhang, Yimeng
3
2016
Questions, conjectures, and data about multiplicity lists for trees. Zbl 1350.05092
Buckley, Shannon P.; Corliss, Joseph G.; Johnson, Charles R.; Araúz Lombardía, Cristina; Saiago, Carlos M.
2
2016
Sufficient conditions to be exceptional. Zbl 1338.15025
Johnson, Charles R.; Reams, Robert B.
1
2016
Normal matrices subordinate to a tree and flat portions of the field of values. Zbl 1343.05093
Johnson, Charles R.; Spitkovsky, Ilya M.; Stevanovic, Mirjana; Turnansky, Morrison
1
2016
The number of interlacing equalities resulting from removal of a vertex from a tree. Zbl 1320.15005
Farber, Miriam; Johnson, Charles; Zhang, Leon
1
2015
The structure of Schur complements in hollow, symmetric nonnegative matrices with two nonpositive eigenvalues. Zbl 1369.15021
Farber, Miriam; Johnson, Charles R.
1
2015
Ordered multiplicity lists for eigenvalues of symmetric matrices whose graph is a linear tree. Zbl 1298.05068
Johnson, Charles R.; Li, Andrew A.; Walker, Andrew J.
7
2014
Undirected graphs of Hermitian matrices that admit only two distinct eigenvalues. Zbl 1295.05141
Chen, Zhao; Grimm, Matthew; McMichael, Paul; Johnson, Charles R.
6
2014
Equal entries in totally positive matrices. Zbl 1291.15077
Farber, Miriam; Faulk, Mitchell; Johnson, Charles R.; Marzion, Evan
3
2014
Complete solution to the \(TP_{2}\) completion problem. Zbl 1307.15039
Johnson, C. R.; Nasserasr, S.
2
2014
On the similarity classes among products of \(m\) nonsingular matrices in various orders. Zbl 1302.15015
Furtado, Susana; Johnson, Charles R.
1
2014
Submatrix monotonicity of the Perron root. II. Zbl 1294.15009
Furtado, Susana; Johnson, C. R.; Marijuán, C.; Pisonero, M.
1
2014
TP\(_k\) completions of partial matrices with one unspecified entry. Zbl 1327.15059
Akin, V.; Johnson, C. R.; Nasserasr, S.
1
2014
Exact results for perturbation to total positivity and to total nonsingularity. Zbl 1327.15067
Farber, Miriam; Faulk, Mitchell; Johnson, Charles R.; Marzion, Evan
1
2014
Matrix analysis. 2nd ed. Zbl 1267.15001
Horn, Roger A.; Johnson, Charles R.
728
2013
Continuity properties of vectors realizing points in the classical field of values. Zbl 1290.15012
Corey, Dan; Johnson, Charles R.; Kirk, Ryan; Lins, Brian; Spitkovsky, Ilya
6
2013
The implicit construction of multiplicity lists for classes of trees and verification of some conjectures. Zbl 1258.05070
Johnson, Charles R.; Nuckols, Jonathan; Spicer, Calum
6
2013
Nonpositive eigenvalues of hollow, symmetric, nonnegative matrices. Zbl 1282.15016
Charles, Zachary B.; Farber, Miriam; Johnson, Charles R.; Kennedy-Shaffer, Lee
4
2013
Asymmetric TP and TN completion problems. Zbl 1261.15035
Johnson, Charles R.; Wei, Zhen
3
2013
The product field of values. Zbl 1272.15015
Corey, Daniel; Johnson, Charles R.; Kirk, Ryan; Lins, Brian; Spitkovsky, Ilya
2
2013
Nonpositive eigenvalues of the adjacency matrix and lower bounds for Laplacian eigenvalues. Zbl 1279.05046
Charles, Zachary B.; Farber, Miriam; Johnson, Charles R.; Kennedy-Shaffer, Lee
1
2013
Inequalities for linear combinations of monomials in p-Newton sequences. Zbl 1305.15022
Johnson, C. R.; Marijuán, C.; Pisonero, M.
1
2013
When the positivity of the leading principal minors implies the positivity of all principal minors of a matrix. Zbl 1283.15107
Johnson, Charles R.; Narayan, Sivaram K.
1
2013
The distribution of eigenvalues of doubly cyclic \(Z^+\)-matrices. Zbl 1283.15059
Johnson, Charles R.; Price, Zachary; Spitkovsky, Ilya M.
1
2013
Eigenvalue pairing in the response matrix for a class of network models with circular symmetry. Zbl 1295.05143
Farber, Miriam; Johnson, Charles R.; Zhen, Wei
1
2013
The change in eigenvalue multiplicity associated with perturbation of a diagonal entry. Zbl 1247.15007
Johnson, Charles R.; Leal-Duarte, António; Saiago, Carlos M.
7
2012
Critical exponents: old and new. Zbl 1251.15011
Johnson, Charles R.; Walch, Olivia
3
2012
Submatrix monotonicity of the Perron root. Zbl 1255.15040
Johnson, C. R.; Marijuán, C.; Pisonero, M.
2
2012
Minimizing the least eigenvalue of graphs with fixed order and size. Zbl 1245.05086
Johnson, Charles R.; Sawikowska, Aneta
1
2012
Optimal Gersgorin-style estimation of the singular value. Zbl 1250.65054
Johnson, Ch. R.; Pena, J. M.; Szulc, T.
1
2012
Totally positive shapes and \(TP_{k}\)-completable patterns. Zbl 1242.15023
Hoff, D.; Johnson, C. R.; Nasserasr, S.
1
2012
Totally nonnegative matrices. Zbl 1390.15001
Fallat, Shaun M.; Johnson, Charles R.
92
2011
On the minimum semidefinite rank of a simple graph. Zbl 1223.05170
Booth, Matthew; Hackney, Philip; Harris, Benjamin; Johnson, Charles R.; Lay, Margaret; Lenker, Terry D.; Mitchell, Lon H.; Narayan, Sivaram K.; Pascoe, Amanda; Sutton, Brian D.
16
2011
Inverse \(M\)-matrices. II. Zbl 1218.15015
Johnson, Charles R.; Smith, Ronald L.
11
2011
The change in multiplicity of an eigenvalue of a Hermitian matrix associated with the removal of an edge from its graph. Zbl 1225.05168
Johnson, Charles R.; McMichael, Paul R.
8
2011
The critical exponent for continuous conventional powers of doubly nonnegative matrices. Zbl 1221.15046
Johnson, Charles R.; Lins, Brian; Walch, Olivia
4
2011
The ratio field of values. Zbl 1209.15024
Einstein, Eduard; Johnson, Charles R.; Lins, Brian; Spitkovsky, Ilya
4
2011
Equilibrants, semipositive matrices, calculation and scaling. Zbl 1211.15045
Johnson, Charles R.; Tong, Zheng
3
2011
Monomial inequalities for Newton coefficients and determinantal inequalities for \(p\)-Newton matrices. Zbl 1250.15025
Johnson, C. R.; Marijuán, C.; Pisonero, M.; Walch, O.
2
2011
Eigenvalue assignments and the two largest multiplicities in a Hermitian matrix whose graph is a tree. Zbl 1225.05166
Johnson, Charles R.; Jordan-Squire, Christopher; Sher, David A.
5
2010
On the possible ranks among matrices with a given pattern. Zbl 1210.15002
Johnson, Charles R.; Zhang, Yulin
4
2010
Order invariant spectral properties for several matrices. Zbl 1187.15011
Furtado, Susana; Johnson, Charles R.
2
2010
TP\(_2\) = Bruhat. Zbl 1225.05009
Johnson, C. R.; Nasserasr, S.
2
2010
The Jordan form problem for \(C = AB\): the balanced, diagonalizable case. Zbl 1213.15010
Johnson, Charles R.; Zhang, YuLin
2
2010
Gangster operators and invincibility of positive semidefinite matrices. Zbl 1216.15023
Ferguson, Timothy; Johnson, Charles
1
2010
The graphs for which the maximum multiplicity of an eigenvalue is two. Zbl 1225.05167
Johnson, Charles R.; Loewy, Raphael; Smith, Paul Anthony
14
2009
Matrices and spectra satisfying the Newton inequalities. Zbl 1189.15009
Johnson, C. R.; Marijuán, C.; Pisonero, M.
6
2009
Scaling of symmetric matrices by positive diagonal congruence. Zbl 1166.15011
Johnson, Charles R.; Reams, Robert
5
2009
Parametrization of the matrix symplectic group and applications. Zbl 1193.15011
Dopico, Froilán M.; Johnson, Charles R.
4
2009
Implicit construction of multiple eigenvalues for trees. Zbl 1176.15011
Johnson, Charles R.; Sutton, Brian D.; Witt, Andrew J.
4
2009
General resolution of a convergence question of L. Krukier. Zbl 1224.15044
Johnson, Charles; Krukier, Lev
3
2009
Solution theory for complete bilinear systems of equations. Zbl 1224.15047
Johnson, Charles R.; Link, Joshua A.
2
2009
Totally positive completions for monotonically labeled block clique graphs. Zbl 1171.05360
Johnson, Charles R.; Negron, Cris
2
2009
Variation in Jordan structure under congruence: the nonsingular case. Zbl 1171.15009
Furtado, Susana; Johnson, Charles R.
1
2009
Matrices totally positive relative to a tree. Zbl 1171.15021
Johnson, Charles R.; Costas-Santos, Roberto S.; Tadchiev, Boris
1
2009
On the minimum rank among positive semidefinite matrices with a given graph. Zbl 1226.05151
Booth, Matthew; Hackney, Philip; Harris, Benjamin; Johnson, Charles R.; Lay, Margaret; Mitchell, Lon H.; Narayan, Sivaram K.; Pascoe, Amanda; Steinmetz, Kelly; Sutton, Brian D.; Wang, Wendy
28
2008
Constructing copositive matrices from interior matrices. Zbl 1143.15023
Johnson, Charles R.; Reams, Robert
10
2008
The structure of matrices with a maximum multiplicity eigenvalue. Zbl 1143.15005
Johnson, Charles R.; Leal Duarte, António; Saiago, Carlos M.
9
2008
Branch duplication for the construction of multiple eigenvalues in an Hermitian matrix whose graph is a tree. Zbl 1149.15007
Johnson, Charles R.; Saiago, Carlos M.
7
2008
Path product matrices and eventually inverse \(M\)-matrices. Zbl 1141.15020
Johnson, Charles R.; Smith, Ronald L.
5
2008
The extent to which triangular sub-patterns explain minimum rank. Zbl 1152.05312
Johnson, Charles R.; Link, Joshua A.
2
2008
Schur-type stability properties and complex diagonal scaling. Zbl 1155.15005
Johnson, Charles R.; Lenker, Terry D.; Narayan, Sivaram K.
2
2008
Matrices with orthogonal groups admitting only determinant one. Zbl 1136.15008
Coakley, Edward S.; Dopico, Froilán M.; Johnson, Charles R.
1
2008
Hadamard powers and totally positive matrices. Zbl 1123.15014
Fallat, Shaun M.; Johnson, Charles R.
8
2007
Unitarily achievable zero patterns and traces of words in \(A\) and \(A\). Zbl 1122.15014
Đoković, Dragomir Ž.; Johnson, Charles R.
4
2007
Positive, path product, and inverse \(M\)-matrices. Zbl 1124.15018
Johnson, Charles R.; Smith, Ronald L.
3
2007
Matrices that preserve vectors of fixed sign variation. Zbl 1132.15003
Johnson, C. R.; Peña, J. M.
1
2007
Hadamard duals retractability and Oppenheim’s inequality. Zbl 1137.15009
Fallat, Shaun M.; Johnson, Charles R.
1
2007
Products of \(M\)-matrices and nested sequences of principal minors. Zbl 1153.15026
Grundy, D. A.; Johnson, C. R.; Olesky, D. D.; van den Driessche, P.
1
2007
Minimum deviation, quasi-LU factorization of nonsingular matrices. Zbl 1133.15013
Bueno, M. I.; Johnson, C. R.
1
2007
Congruence of Hermitian matrices by Hermitian matrices. Zbl 1126.15011
Bueno, M. I.; Furtado, S.; Johnson, C. R.
1
2007
Complementary bases in symplectic matrices and a proof that their determinant is one. Zbl 1112.15002
Dopico, Froilán M.; Johnson, Charles R.
9
2006
Compressions of totally positive matrices. Zbl 1112.15024
Fallat, Shaun M.; Herman, Allen; Gekhtman, Michael I.; Johnson, Charles R.
6
2006
Converse to the Parter–Wiener theorem: the case of non-trees. Zbl 1114.05061
Johnson, C. R.; Duarte, António Leal
6
2006
Multiple LU factorizations of a singular matrix. Zbl 1106.15009
Dopico, Froilán M.; Johnson, Charles R.; Molera, Juan M.
4
2006
Eigenvalues, multiplicities and graphs. Zbl 1114.15007
Johnson, Charles R.; Duarte, António Leal; Saiago, Carlos M.; Sher, David
4
2006
...and 268 more Documents
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Cited by 9,694 Authors

267 Johnson, Charles Royal
100 Li, Chi-Kwong
67 Ikramov, Saidkhakim Dododshanovich
66 van den Driessche, Pauline
47 Huang, Ting-Zhu
44 Olesky, D. Dale
41 Fallat, Shaun M.
37 Horn, Roger Alan
35 Tsatsomeros, Michael J.
34 Cao, Jinde
31 Hogben, Leslie
31 Peña, Juan Manuel
29 Rodman, Leiba X.
29 Spitkovsky, Ilya Matvey
28 Neumann, Michael
28 Wei, Yimin
27 Loewy, Raphael
26 Soto, Ricardo Lorenzo
26 Xu, Daoyi
25 Sergeichuk, Vladimir Vasil’evich
24 Chen, Guanrong
24 Gau, Hwa-Long
24 Hall, Frank J.
24 Li, Zhongshan
24 Liu, Jianzhou
24 Shader, Bryan L.
24 Tam, Tin-Yau
24 Zhang, Fuzhen
23 Kirkland, Steve J.
23 Psarrakos, Panayiotis J.
23 Wu, Peiyuan
22 Merino, Dennis I.
22 Rojo, Oscar L.
22 Tian, Yongge
21 Bebiano, Natália Isabel Quadros
21 Chien, Mao-Ting
21 Elsner, Ludwig F.
20 Dopico, Froilán M.
20 Furtado, Susana
20 Sze, Nung-Sing
19 Bapat, Ravindra Bhalchandra
19 Barrett, Wayne W.
19 da Fonseca, Carlos Martins
19 Gao, Yubin
19 Hershkowitz, Daniel
19 Marijuán, Carlos
19 Nakazato, Hiroshi
19 Narayan, Sivaram K.
19 Šmigoc, Helena
19 Tsing, Nam-Kiu
18 Berman, Abraham S.
18 Kittaneh, Fuad
18 Mcdonald, Judith Joanne
18 Paras, Agnes T.
18 Pisonero, Miriam
18 Smith, Ronald L.
17 Benzi, Michele
17 Fan, Yizheng
17 Laffey, Thomas J.
17 Shorten, Robert N.
17 Wolkowicz, Henry
16 Cheng, Cheman
16 da Providência Santarém e Costa, João
16 Drury, Stephen William
16 Higham, Nicholas J.
16 Lewkowicz, Izchak
16 Lu, Jianquan
16 Mehrmann, Volker
16 Merikoski, Jorma Kaarlo
16 Poon, Yiu-Tung
16 Saiago, Carlos M.
16 Simoncini, Valeria
15 Kolotilina, Lily Yu.
15 Li, Wen
15 Lin, Minghua
15 Reichel, Lothar
15 Shao, Yanling
15 Sivakumar, Koratti Chengalrayan
15 Tarazaga, Pablo A.
15 Uhlig, Frank
15 Urbano, Ana María
14 de Terán, Fernando
14 Eschenbach, Carolyn A.
14 Garcia, Stephan Ramon
14 Lim, Yongdo
14 Mason, Oliver
14 Mehl, Christian
14 Nylen, Peter M.
14 Paparella, Pietro
14 Torregrosa Sanchez, Juan Ramón
14 Vander Meulen, Kevin N.
14 Wu, Aiguo
14 Xu, Jianhong
14 Zhang, Xiaodong
13 Akbari, Saieed
13 Benner, Peter
13 Bhatia, Rajendra
13 Faßbender, Heike
13 Fiedler, Miroslav
13 Gowda, Muddappa Seetharama
...and 9,594 more Authors
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Cited in 699 Serials

2,028 Linear Algebra and its Applications
342 Linear and Multilinear Algebra
222 Automatica
196 Applied Mathematics and Computation
156 Journal of Computational and Applied Mathematics
121 Journal of Mathematical Analysis and Applications
100 SIAM Journal on Matrix Analysis and Applications
99 Journal of the Franklin Institute
97 Systems & Control Letters
86 International Journal of Control
71 Computers & Mathematics with Applications
64 Proceedings of the American Mathematical Society
64 Mathematical Programming. Series A. Series B
60 Journal of Mathematical Physics
59 ELA. The Electronic Journal of Linear Algebra
55 Discrete Mathematics
54 Journal of Mathematical Sciences (New York)
54 Numerical Linear Algebra with Applications
51 Journal of Optimization Theory and Applications
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47 The Annals of Statistics
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44 International Journal of Robust and Nonlinear Control
43 Journal of Computational Physics
43 Applied Numerical Mathematics
41 Applied Mathematics Letters
40 BIT
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38 Mathematics of Computation
38 Journal of Inequalities and Applications
35 Czechoslovak Mathematical Journal
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30 European Journal of Operational Research
29 SIAM Journal on Optimization
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28 Transactions of the American Mathematical Society
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27 Integral Equations and Operator Theory
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24 Chaos, Solitons and Fractals
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17 Acta Mathematicae Applicatae Sinica. English Series
17 Probability Theory and Related Fields
17 Complexity
17 Bernoulli
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17 Journal of Machine Learning Research (JMLR)
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16 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
...and 599 more Serials
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